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777dan777 [17]
4 years ago
9

At Silver Gym, membership is $25 per month and personal training sessions are $30 each. At Fit Factor membership is $65 per mont

h and personal training sessions are $20 each. In one month how many personal training sessions would Sarah have to but to make the total cost at the two gyms equal?
Mathematics
1 answer:
slamgirl [31]4 years ago
6 0

Answer:

4 personal training sessions

Step-by-step explanation:

You would first create 2 expressions, one to represent each situation

Silver Gym: 25 + 30x

Fit Factor: 65 + 20x

Then if you want to find when the costs would equal each other, set them equal to each other.

25 + 30x = 65 + 20x

Then solve:

25 + 30x - 20x = 65 + 20x - 20x

25 + 10x = 65

25 - 25 + 10x = 65 -25

10x = 40

10x / 10 = 40 / 10

x = 4

She will have to attend 4 personal training sessions to make the total cost at the two gyms equal.

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Eric throws a biased coin 10 times. He gets 3 tails. Sue throw the same coin 50 times. She gets 20 tails. Aadi is going to throw
iren2701 [21]

Answer:

(1) The correct option is (A).

(2) The probability that Aadi will get Tails is \frac{2}{5}.

Step-by-step explanation:

It is provided that:

  • Eric throws a biased coin 10 times. He gets 3 tails.
  • Sue throw the same coin 50 times. She gets 20 tails.

The probability of tail in both cases is:

  • P(\text{Tail})=\frac{3}{10}
  • P(\text{Tail})=\frac{20}{50}=\frac{2}{5}

(1)

According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.

In this case we need to compute the proportion of tails.

Then according to the Central limit theorem, Sue's estimate is best because she throws it <em>n = </em>50 > 30 times.

Thus, the correct option is (A).

(2)

As explained in the first part that Sue's estimate is best for getting a tail, the probability that Aadi will get Tails when he tosses the coin once is:

P(\text{Tail})=\frac{20}{50}=\frac{2}{5}

Thus, the probability that Aadi will get Tails is \frac{2}{5}.

7 0
4 years ago
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Answer:

4 × 10^6

Step-by-step explanation:

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to cut it short, subtract 18 from 24 ( the exponent) = 6

and divide 8 by 2 = 4

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Answer:

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Step-by-step explanation:

62 x 93 = 5,766

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